What is the limit as x approaches 5 of x^{-1} ?

The limit as x approaches 5 of x^{-1} is 1/5

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limit as x approaches 5 of x^{-1}

x \to 5 lim (x^{- 1})

\frac{1}{5}

Decimal Notation

0.2

Solution steps

x \to 5 lim (x^{- 1})

Plug in the value

x = 5

= 5^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{5}

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What is the limit as x approaches 5 of x^{-1} ?
The limit as x approaches 5 of x^{-1} is 1/5